Exponent Laws

Laws of Exponents Review

What is an exponent?

A simplified notation for repeated multiplication of the same number, term, or variable.

Multiple Choice

How do you use exponents to represent numbers?

• repeated multiplication

• repeated addition

• repeated subtraction

• repeated division

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7?

• 7⁵

• 7⁶

• 6⁷

• 7⁷

When multiplying, ADD the exponents and keep the same base.

Multiple Choice

According to exponent rules, when we multiply the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Multiple Choice

Simplify to an equivalent expression BUT leave in exponent form.

4³ ⋅ 4⁵

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵

Multiple Choice

Simplify:

b² ⋅ b⁴

• b⁸

• b⁶

• b²

• 2b⁶

When dividing, SUBTRACT the exponent in the denominator (bottom) and keep the base.

Multiple Choice

According to exponent rules, when we divide with the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Basics of Negative exponents

By: Ms. Alia Cerda

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Review:

What do you remember about negative exponents?

Negative exponents in the numerator get moved to the denominator and become positive exponents.

Ex: 6^-4 = 1/6⁴

Negative exponents in the denominator get moved to the numerator and become positive exponents.

Ex: 1/6^-4 = 6⁴/1 or 6⁴

Multiple Choice

Rewrite the following expression with a positive exponent:

7^-10

• 7¹⁰

• 1/7^-10

• 1/7¹⁰

• 7/10

Multiple Choice

Rewrite the following expression with a positive exponent: 32^-4

• 1/32^-4

• 32/4

• 32/1

• 1/32⁴

Multiple Select

Rewrite the following expression with a positive exponent: 1/6^-3

• 6³

• 1/6^-3

• 1/6³

• 6³/1

Multiple Select

Rewrite the following expression with a positive exponent: 1/3^-5

• 1/3^-5

• 3⁵

• 3⁵/1

• 1/3⁵

Multiple Select

Rewrite the following expression with a positive exponent: 1/7^-5

• 1/7^-5

• 7⁵/1

• 1/7⁵

• 7⁵

Multiple Select

Select all equivalent expressions to 2¹¹

• 2²³/2¹²

• 2⁷*2⁴

• 2⁹/2²

• 2²*2⁹

• 4²*2⁷

Open Ended

Check for Understanding:

Is there anything that confuses you? You're not quite sure about. Please drop it below so we can discuss it.

Multiple Choice

Simplify this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Multiple Choice

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

When you have an exponent raise to an exponent, MULTIPLY the exponents.

Multiple Choice

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

Simplify:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Multiple Choice

(r⁴)⁶

• 10r
• r¹⁰
• 24r
• r²⁴

Anything with a power/exponent of zero equals 1!

Multiple Choice

Simplify (-1/2)⁰

• 1

• 0

• -1

• -2